256842768 has 160 divisors (see below), whose sum is σ = 824836096. Its totient is φ = 67060224.

The previous prime is 256842767. The next prime is 256842769. The reversal of 256842768 is 867248652.

It is an interprime number because it is at equal distance from previous prime (256842767) and next prime (256842769).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (256842767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 554505 + ... + 554967.

Almost surely, 2^256842768 is an apocalyptic number.

256842768 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 256842768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412418048).

256842768 is an abundant number, since it is smaller than the sum of its proper divisors (567993328).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

256842768 is a wasteful number, since it uses less digits than its factorization.

256842768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 621 (or 615 counting only the distinct ones).

The product of its digits is 1290240, while the sum is 48.

The square root of 256842768 is about 16026.3148602541. The cubic root of 256842768 is about 635.6564340355.

The spelling of 256842768 in words is "two hundred fifty-six million, eight hundred forty-two thousand, seven hundred sixty-eight".